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212021110022001 = 3731499376521923
BaseRepresentation
bin110000001101010100000010…
…111100101001111101110001
31000210201000112200221101112120
4300031110002330221331301
5210242223213131201001
62030533053040344453
762442006520500630
oct6015240274517561
91023630480841476
10212021110022001
1161613714257125
121b943140915129
13913c674305937
143a4dc3b0b5517
15197a2503e1236
hexc0d502f29f71

212021110022001 has 32 divisors (see below), whose sum is σ = 333508444889088. Its totient is φ = 117244330917120.

The previous prime is 212021110021997. The next prime is 212021110022069. The reversal of 212021110022001 is 100220011120212.

It is not a de Polignac number, because 212021110022001 - 22 = 212021110021997 is a prime.

It is a super-3 number, since 3×2120211100220013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212021110022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29248026 + ... + 35769948.

It is an arithmetic number, because the mean of its divisors is an integer number (10422138902784).

Almost surely, 2212021110022001 is an apocalyptic number.

212021110022001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212021110022001 is a deficient number, since it is larger than the sum of its proper divisors (121487334867087).

212021110022001 is a wasteful number, since it uses less digits than its factorization.

212021110022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571901.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212021110022001 its reverse (100220011120212), we get a palindrome (312241121142213).

The spelling of 212021110022001 in words is "two hundred twelve trillion, twenty-one billion, one hundred ten million, twenty-two thousand, one".

Divisors: 1 3 7 21 31 93 217 651 49937 149811 349559 1048677 1548047 4644141 6521923 10836329 19565769 32508987 45653461 136960383 202179613 606538839 1415257291 4245771873 325685268851 977055806553 2279796881957 6839390645871 10096243334381 30288730003143 70673703340667 212021110022001